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Finding the Fourth Proportional to 13,405.60, 18,498.36 and 7,435.76

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Solution

The fourth proportional to 13,405.60, 18,498.36 and 7,435.76 is: 10,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.60 : 18,498.36 = 7,435.76 : x
  2. Step 2: Convert to fraction form
    13,405.60/18,498.36 = 7,435.76/x
  3. Step 3: Cross multiply
    13,405.60x = 18,498.36 × 7,435.76
  4. Step 4: Simplify right side
    13,405.60x = 137,549,365.35
  5. Step 5: Solve for x
    x = 137,549,365.35/13,405.60
  6. Step 6: Final answer
    x = 10,260.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.